The Mid-Point Theorem

In the given ...

Question

In the given figure, $∠ A B C$ = $90^{\circ}$ and BM is a median, AB = 8cm and BC = 6cm. Then, choose the correct option(s).

3 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

4 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

5 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

7 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct options are
A
3 cm

B
4 cm

C
5 cm

AC = $\sqrt{8^{2} + 6^{2}}$ = $\sqrt{100}$ = 10cm.

So, AM = MC = 5cm.

Since the mid point of the hypotenuse of a right triangle is equidistant from its vertices,

BM = AM = MC = 5cm.

Suggest Corrections

Similar questions

In the given figure, $∠ A B C = 90^{\circ}$ and $M$ is the mid-point of $A C$ , $A B = 8 cm$ and $B C = 6 cm$ . Then, choose the correct option(s).

In the given figure, ∠ABC = $90^{\circ}$ and BM is a median drawn from B to AC, AB = 8cm and BC = 6 cm. Then, choose the correct option(s).

△ A B C = 90^{o}

B M

A B = 8 c m

B C = 6 c m

B M

△ A B C

∠ B = 90

A B = 8 c m

B C = 6 c m

In the given figure, ∠ABC = $90^{\circ}$ and BM is a median, AB = 8 cm and BC = 6 cm. Then, choose the correct option(s).

Join BYJU'S Learning Program